m^2x^2+2rx=s^2

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Solution for m^2x^2+2rx=s^2 equation: 


Simplifying
m2x2 + 2rx = s2

Solving
m2x2 + 2rx = s2

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-2rx' to each side of the equation.
m2x2 + 2rx + -2rx = -2rx + s2

Combine like terms: 2rx + -2rx = 0
m2x2 + 0 = -2rx + s2
m2x2 = -2rx + s2

Divide each side by 'x2'.
m2 = -2rx-1 + s2x-2

Simplifying
m2 = -2rx-1 + s2x-2

Reorder the terms:
m2 + 2rx-1 + -1s2x-2 = -2rx-1 + 2rx-1 + s2x-2 + -1s2x-2

Combine like terms: -2rx-1 + 2rx-1 = 0
m2 + 2rx-1 + -1s2x-2 = 0 + s2x-2 + -1s2x-2
m2 + 2rx-1 + -1s2x-2 = s2x-2 + -1s2x-2

Combine like terms: s2x-2 + -1s2x-2 = 0
m2 + 2rx-1 + -1s2x-2 = 0

The solution to this equation could not be determined.

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